A train covers a certain distance in 210 minutes at a speed of 60 km/hr. The time taken by the train, to covers the same distance at a speed of 80 km/hr is :
A train covers a certain distance in 210 minutes at a speed of 60 km/hr. The time taken by the train, to covers the same distance at a speed of 80 km/hr is :
[A]$latex 3\frac{5}{8}\ hours&s=1$
[B]$latex 2\frac{5}{8}\ hours&s=1$
[C]$latex 4\frac{5}{8}\ hours&s=1$
[D]$latex 3\ hours$
$latex \mathbf{2\frac{5}{8}\ hours}&s=1$
Speed of train = 60 km/hr
Time $latex = 210\ minutes = \frac{210}{60} = \frac{7}{2}\ hours&s=1$
Distance covered $latex = 60\times \frac{7}{2} = 210\ km&s=1$
Time taken at 80 km/hr $latex = \frac{210}{80} = \frac{21}{8} = 2\frac{5}{8}\ hours&s=1$
Hence option [B] is correct answer.